17 PDF - Albert G. Gluckman, An analysis of some aspects of the relativistic kinematics of Einstein's 1905 discovery paper

An analysis of some aspects of the relativistic kinematics of Einstein's 1905 discovery paper

Institute for Physical Science and Technology, University of Maryland, College Park, Maryland 20742, USA

It is shown in Section II how the Lorentz coordinate transformations can be derived by means of Einstein's original development in his 1905 discovery paper, but without the need for him to have postulated the construction of a third coordinate system K′. Section III shows the relation between the chain rule of the differential calculus and the Taylor series when these are applied to resolving the light ray path equation into its descendent partial differential equation (PDE) . The relation of the mean value theorem of the differential calculus to the Taylor series is mentioned with reference to the derivation of the PDE.